Answer:
Length = 22, Width = 16
Step-by-step explanation:
Let L be the length of the garden and W the width
The area, A = L x W = 352 ft²
It is given that L = W + 6
Substituting for L in the area equation we get
L x W
==> (W + 6) x W = 352
Expanding the brackets
==> W.W + 6.W = 352
==> W² + 6W = 352
Subtract 352 from both sides:
W² + 6W - 352 = 0
This is a quadratic equation which can be solved using the quadratic formula.
- 352 = - 16 x 22 and -16 + 22 = 6
So we can factor the quadratic equation as
(W - 16) (W + 22) = 0
==> W = 16 or W = -22
Since we can disregard negative values in this context,
W = 16 and L = W + 6 = 16 + 6 = 22
Dimensions are Length = 22, Width = 16
Frances had no money in her checking account. She writes 3 checks for $35 each. The bank imposes a $15 penalty because she has overdrawn her account. How much money is in her account now?
The money in Frances' account is - $ 120 after the 3 checks and the penalty.
We are given that:
Frances has no money in her account.
Current balance of her account = $ 0
Now she wrote 3 checks of $ 35 each.
Amount written = 3 × $ 35 = $ 105
Now, the balance in her account will be = $ 0 - $ 105 = - $ 105
Also, the bank has imposed a penalty of $ 15 as she has overdrawn her account.
So, the balance now will become:
Balance = - $ 105 - $ 15 = - $ 120
Therefore, the money in Frances' account is - $ 120 after the 3 checks and the penalty.
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A dolphin dives from the surface into the ocean at a rate of 6.2 feet per second estimate the approximate location of the dolphin after 25 seconds
The approximate location of the dolphin is 155 feet as it moves at the rate of 6.2 feet per second.
Rate in defined as the speed or the distance travelled by the dolphin in unit time.
rate or speed is calculated by dividing the distance travelled by the total time taken to cover that distance.The units of rate is given by unit of distance/unit of time .The units of rate are meter/second , miles/hour , feet/second etc..Velocity is defined as the rate in a specified direction. Velocity is a vector quantity while speed or rate is a scalar quantity.Given the rate of the dolphin is feet per second .
Time taken by the dolphin is 25 seconds.
∴ distance travelled is given by rate × time
Hence distance travelled is 6.2 × 25 = 155 feet
Therefore the approximate location is given by 155 feet from the starting point.
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what is 4 multiplied by pi multiplied by 4.6 to the power of 3
Answer:
193,153.72460551
Step-by-step explanation:
Multiply 4 times pi or 3.14 if you are rounding. Then multiply that number by 4.6
Lastly once you done all of put it to the po wer of 3
Will give brainliest 50 points!!!!
If we want to have solutions for the linear equation, the value of A must be 4,
Which number should go in the box?Let's define A as the number that should be in the box, now we can write the linear equation in the image as:
A*(5x + 6) = 20x + 24
We want to find the value of A, if we divide both sides by 5x + 6 we will get:
A = (20x + 24)/(5x + 6)
The numerator can be rewritten as:
20x + 24 = 4*(5x + 6), replacing that we will get:
A = 4*(5x + 6)/(5x + 6) = 4
Then we conclude that, if we want to have solutions for the linear equation, the value of A must be 4.
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Leah wants to divide x by What number should she 12 multiply by x to find the answer??
Leah should multiply x with [tex]\frac{12}{5}[/tex].
If we are to divide x by [tex]\frac{5}{12}[/tex], we need to write it like this,
[tex]\frac{x}{\frac{5}{12} }[/tex]
⇒ x ÷ [tex]\frac{5}{12}[/tex]
⇒ x × [tex]\frac{12}{5}[/tex]
Thus, x should be multiplied [tex]\frac{12}{5}[/tex] to get the answer.
Answer) [tex]\frac{12}{5}[/tex]
In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution.
In the given question, the divisor is ' [tex]\frac{5}{12}[/tex].' Thus, it should be reciprocated to find the fraction ' [tex]\frac{12}{5}[/tex].' This should be then multiplied by the variable x to find the answer to the fractional division.
Fractional multiplication also needs to carry out the arithmetic functions of multiplication and division to find out the answer.
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The complete question is given below:
Leah wants to divide x by [tex]\frac{5}{12}[/tex]. What number should she multiply by x to find the answer??
Employees of the store in the Example wear shirts with the logo on the back. The
scale from the original logo in inches to the shirt in inches is 1 : 8. What is the area
of the logo on their shirts? Show your work.
The original logo is a triangle and measures
1.5in x 1.5in
Magnification is
Original shirt = 1:8
Shirt logo area
A = 1/2bh
A = 1 / 2 * (1.5 * 8) (1.5 * 8) = 72 square inches
The area is a quantity that describes the extent of an area on a plane or curved surface. Planar region or planar region area refers to the area of a shape or planar layer, and surface area refers to the open surface or boundary area of a three-dimensional object.
The area is defined as the total space occupied by a planar (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. A two-dimensional character. The space a shape occupies on paper is called its area. Now imagine that the square is made up of smaller unit squares.
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Flying Home A bird flies from the bottom of a canyon that is 59; feet below sea level to a nest that is 752 feet above sea level. What is the difference
10
elevation between the bottom of the canyon and the bird's nest?
*The values in the question and the image are different. It is solved below according to the image*
The correct answer is 812 and 2/5 feet.
Convert the mixed fraction into improper fraction.
Distance between the bottom of canyon and sea level = 59 and 9/ 10 feet= 599/10 feet
Distance between the bird's nest and sea level = 752 and 1/2 feet = (752×2 + 1) feet =1505/2 feet
So, the difference between elevation between the bottom of the canyon and the bird's nest = 599/10 + 1505/2 feet
= 59.9 + 752.5 feet = 812.4 feet
= 812 and 4/10 feet
= 812 and 2/5 feet
Hence, the difference between elevation between the bottom of the canyon and the bird's nest is 812 and 2/5 feet .
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Amanda won 62 pieces of gum playing
hoops at her school's game night. Later,
she gave two to each of her friends. She
only has 8 remaining. How many friends
does she have?
If Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.
Given that Amanda won 62 pieces of gum and division has been done in such a way that 2 pieces to each friend are given and only 8 has remaining.
We are required to find the number of friends that Amanda have.
If 8 pieces of gums are left then the number of pieces distributed will be 62-8=54 pieces of gums.
Since 2 pieces are given to 1 friend so the number of friends will be=54/2=27 friends.
Hence if Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.
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Find the equation of a horizontal line containing the point (4,-8)
The equation of a horizontal line containing the point is y = -8
How to find the equation of a horizontal line containing the point?The point is given as (4,-8)
Rewrite as
(x, y) = (4,-8)
The line is a horizontal line
So, we remove the x value
This gives
y = -8
Hence, the equation of a horizontal line containing the point is y = -8
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Please help me I will give brainliest
Answer:
5
Step-by-step explanation:
The points are (4, -3) and (7, -7).
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(7 - 4)^2 + (-7 - (-3))^2} [/tex]
[tex] d = \sqrt{3^2 + (-4)^2} [/tex]
[tex] d = \sqrt{9 + 16} [/tex]
[tex] d = \sqrt{25} [/tex]
[tex] d = 5 [/tex]
Answer: 5
3. If f(x) = x² and g(x) = 3x - 1, find f(g(x))
Answer:
f(g(x)) = 9x² - 6x + 1
Step-by-step explanation:
We are told that:
• [tex]f(x) = x^2[/tex]
• [tex]g(x) = 3x -1[/tex].
In order to find [tex]f(g(x))[/tex], we have to replace [tex]x[/tex] in the definition of [tex]f(x)[/tex] with the definition of [tex]g(x)[/tex]. In other words, [tex]3x -1[/tex] has to be the input for [tex]f(x)[/tex]:
[tex]f(g(x))[/tex] = [tex]f(3x -1)[/tex]
⇒ [tex](3x - 1)^2[/tex]
⇒ [tex]9x^2 - 6x + 1[/tex]
Therefore, f(g(x)) = 9x² - 6x + 1.
Greg took an Uber home from the airport.
The fare was $2.30 a mile and he gave a $7.50 tip to the driver.
His total with tip was $54.65
How many miles was the trip from the airport to Greg's house?
I will give brainlist
Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.
four ninths raised to the fourteenth power
four ninths raised to the twenty fourth power
two thirds raised to the fourteenth power
two thirds raised to the twenty fourth power
Using exponent properties, the equivalent expression is given as follows:
[tex]\left(\frac{2}{3}\right)^14[/tex]
What is the equivalent expression?Two thirds to the fourth power is given by:
[tex]\left(\frac{2}{3}\right)^4[/tex]
Two thirds to the third power is given by:
[tex]\left(\frac{2}{3}\right)^3[/tex]
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:
[tex]\left(\frac{2}{3}\right)^4 \times \left(\frac{2}{3}\right)^3 \left(\frac{2}{3}\right)^{4 + 3} = \left(\frac{2}{3}\right)^7[/tex]
Then, this entire expression is raised to the second power, meaning that:
[tex]\left[\left(\frac{2}{3}\right)^7\right]^2 = \left(\frac{2}{3}\right)^7 \times \left(\frac{2}{3}\right)^7 = \left(\frac{2}{3}\right)^{7+7} = \left(\frac{2}{3}\right)^14[/tex]
[tex]\left(\frac{2}{3}\right)^14[/tex] is the equivalent expression.
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Serena paid $12.55 for a pack of 8 pairs of sport socks. What was the price of a pair of sport socks?
In linear equation, $1.56 is the price of a pair of sport socks.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."To find how much it costs for one pair of socks, divide the cost with how many pairs there are.
12.55/8 = 1.56875
Since we are determining the cost of each pair of socks, it's only justifiable if we round it to the nearest hundredths.
Therefore, a pair of socks cost around $1.56 excluding taxes.
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There are 43 jazz songs, 56 rock songs, and 16 country songs on your music player. If you set your music player on random, what is the probability that the next song will be a country song? Give your answer as a decimal rounded to the nearest thousandth
Answer:
0.139
Step-by-step explanation:
total = 43 + 56 + 16 = 115
country songs = 16
p(country song) = 16/115 = 0.139
Part A: Wilson bought fruit that weighs 2 and 1 over 2 pounds. How many ounces does the fruit weigh? Show your work. (5 points) [16 ounces = 1 pound] Part B: A running tap dispenses 0.14 gallons of water every second. How many pints of water is dispensed after 50 seconds? Show your work. (5 points) [1 gallon = 4 quarts, 1 quart = 2 pints]
The weight of the fruits in ounces is 40 ounces
The pints of water dispensed after 50 seconds is 56 pints
What are the converted units?The mathematical operations that would be used to determine the answer is multiplication. Multiplication is the process of determining the product of two or more numbers. Multiplication is represented with the sign - x.
A mixed fraction is a non-integer that is made up of a whole number and a proper fraction. An example of a mixed fraction is 2 1/2.
Weight of the fruits in ounces = 2 1/2 x 16
5/2 x 16 = 40 ounces
Pints of water dispensed after 50 seconds = gallon per second x 50 x 4 x 2
0.14 x 50 x 4 x 2 = 56 pints
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Use the given information
7) Given ABC=94°, Find CBD, ABD=(3x+15)°, DBC= (x+7)°
The angles ∠ABD and ∠CBD are equal to 144° and 50° respectively.
The angle ∠ABC is equal to 94°.The angle ∠ABD is equal to (3x + 15)°.The angle ∠DBC is equal to (x + 7)°.An angle is defined as the figure formed when two rays intersect at a single point known as the vertex. The angle is represented by the symbol "∠".The sum of the angle ∠ABC and the angle ∠CBD is equal to the angle ∠ABD.94° + (x + 7)° = (3x + 15)°101° + x = 3x + 15°86° = 2x43° = xx = 43°The angle ∠ABD is equal to 3(43°) + 15° = 129° + 15° = 144°The angle ∠CBD is equal to 43° + 7° = 50°.To learn more about angles, visit :
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3. Reducing the original price of an item is often called _____.
Obartering
originating
O selling
O discounting
Answer:
discounting
Step-by-step explanation:
the answer is discounting
Help please i need it
Joseph could use C), D), and E) to make kebabs without any leftovers:
C) 30 pieces of meat and 40 pieces of vegetables
D) 45 pieces of meat and 60 pieces of vegetables
E) 72 pieces of meat and 96 pieces of vegetables
How were the answers determined? To solve for the answer, here are some pointers:
Consider the given which states that each kebab has 3 pieces of meat and 4 pieces of vegetables, and Joseph wanted to make kebabs without any leftovers - meaning, there should be no extra piece of meat or no extra piece of vegetable.
In choosing which is the answer, make sure that the number of pieces of meat must be divisible by 3 (pieces of meat), and the number of pieces of vegetables must be divisible by 4 (pieces of vegetables). This was also based on the given.
Moreover, the quotient for meat and the quotient for vegetables must be equal to each other so that there will be no leftovers.
Therefore, the answers are C), D), and E) because these three answers satisfy the conditions above.
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Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise
rotation about the origin.
Answer:
(1,-4) (2,0) (3,-11)
Step-by-step explanation:
if you graph these you will see its the same images just turned up i would also know because im from k12 but anyways yea same image just turned counterclockwise ,next time search up "graph 90 counterclockwise" and itll show you step by step not of this exact problem but a similar type, it helps alot
What is (-2/3) + (-7/8)?
Answer:
[tex]=-\frac{37}{24}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}+\left(-\frac{7}{8}\right)[/tex]
[tex]=-\frac{2}{3}-\frac{7}{8}[/tex] <- Apply the rule a + (-b) = a - b
[tex]=-\frac{16}{24}-\frac{21}{24}[/tex] <- The LCM of 3 and 8 is 24.
[tex]=\frac{-16-21}{24}[/tex] <- Apply the fraction rule [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{-37}{24}[/tex] <- Subtract
[tex]=-\frac{37}{24}[/tex] <- Apply the fraction rule [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
_____________________________________________________
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Hope you have a WONDERFUL day!
Answer:
-1.542
Step-by-step explanation:
(-2/3) + (-7/8)=-37/24=-1 13/24= -1.542
Is this a linear or nonlinear?
Answer:
non
Step-by-step explanation:
bc its not a straight line
Answer: Non-linear
Step-by-step explanation:
It’s not a straight line and there is no pattern.
Given f(x)=x²-9, find the indicated values.
f(-1)
Answer: -8
Step-by-step explanation:
First, you plug -1 in for x
[tex]f(x)=f(-1)=(-1)^2 -9[/tex]
[tex]=1-9=-8[/tex]
35. What is the equation of the line that is parallel to y = 4x + 3 and passes through the point (2, 6) ?
The equation of the line that is parallel to y = 4x ₊ 3 and passes through the point (2,6) is y = 4x ₋ 2.
The slope of the preceding equation is 4 because it is in slope intercept form. The slope of an equation is always equal for parallel lines, hence the slope of the equation we are requested to create is also 4. We are given that this line passes through (2,6).
In the absence of intersection, two lines are said to be parallel. Each line has the same slope. In the event where m₁=m₂, f(x)=m₁x+b₁ and g(x)=m₂x+b₂ are. parallel
In order to write in y = mx +b form, we need to solve for b (the y-intercept).
Given, x=2, y=6, and m = 4.
6 = (4) (2) ₊ b
simplify
6 = 8 ₊ b
solve for b.
b = 6 ₋ 8
b = ₋2
So the equation of the parallel line is y = 4x ₋ 2
Hence we get the equation of the line that is parallel to y = 4x ₊ 3 and passes through the point (2,6) is y = 4x ₋ 2
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Which of the following values is greater than −2.5? −6.5 −3.4 −2.75 −2.25
Worth 100 points
The value which is greater than -2.5 as requested in the task content is; -2.25.
Which of the numbers given is greater than -2.5?It follows from the task content that the value which is greater than -2.5 is to be determined.
On this note, since greater numbers appear to the right on the number line, one can be sure that the number which is greater than -2.5 among the answer choices is; -2.25 as it appears to the right of -2.5.
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5 to the power of -2 multiplied by 2
Answer:
im pretty sure its -20
Step-by-step explanation:
(SOMEBODY PLEASE ANSWER THIS ALREADY) Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.
Based on the Alternate Interior Angles Theorem, the degree measure of angle 3 is equal to 153.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
Since line a and m are parallel lines, angle 4 and 6 are alternate interior angles. Therefore, by applying the supplementary angle theorem, the measure of angle 6 is given by:
Q + R = 180°
153° + m<6 = 180°
Angle 6 = 180° - 153°
Angle 6 ≡ Angle 4 = 17°
Now, we can determine the degree measure of angle 3 by applying the supplementary angle theorem:
Q + R = 180°
17° + m<3 = 180°
Angle 3 = 180° - 17°
Angle 3 = 153°
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How to you solve this 8/9+4/5
2. Solve the equation for x .
zx - 13 = k
Step-by-step explanation:
Solving steps
ZX-13 k
Move the constant to the right
zX = 13+k
Divide both sides
Solution
x=13+k/z , z≠0
Answer:
x=(k+13)/zStep-by-step explanation:
Solve the equation for x .
zx-13=k
zx−k−13=0
(z)⋅x+(−k−13)=0
x=−(−k−13)/z
x=(k+13)/z
----------------------------
check
z(k+13)/z-13=k
(k+13)−13−{k}=0
k−{k}=0
0=0
the answer is good
help with this ...............................
Answer: The first one. 2.289<2.297
Step-by-step explanation: